Supersymmetry for Mathematicians: An Introduction

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How researchers see this paper

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Mathematical foundations of supersymmetry (2007, background): “Varadarajan [23] among others, have continued the exploration of the beautiful area of physics and mathematics and have inspired this work.”
On complex lie supergroups and split homogeneous supermanifolds (2009, background): “for a certainX ∈ Te(G,OG) and the mapX 7→ (X⊗id)◦μ ∗ is an isomorphism of the vector space Te(G,OG) onto g, see [20], Theorem 7.”
Chevalley Supergroups (2008, methodology): “More details on the basic facts of supergeometry can be found for example in [27], Ch.”
Supergroupoids, double structures, and equivariant cohomology (2006, background): “Some early mathematical texts on the subject were written by Berezin [5], Kostant [36], and Leites [40]; more recent treatments include [19], [51], [70], and [73].”
Symmetric Tensors and Symmetric Tensor Rank (2008, neutral): “The word ‘supersymmetric’ has always been used in both mathematics and physics [25, 60, 62] to describe objects with a Z2-grading and so using it in the sense of [10, 34, 45] is both inconsistent and confusing (the correct usage will be one in the sense of [7]).”
Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field (2011, background): “Among other useful monographs we cite especially Berezin [3], Varadarajan [25], and Carmeli, Caston and Fioresi [7].”